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Label Polynomial Discriminant Galois group Class group
22.6.801...000.1 x22 - 7x21 - 14x20 + 265x19 - 520x18 - 14689x17 + 11653x16 - 22154x15 - 1607845x14 + 4298285x13 - 18440204x12 - 22310537x11 + 285023156x10 - 1085639155x9 + 3962459515x8 - 7396721954x7 + 11379240893x6 - 15698920969x5 + 12781094360x4 - 10215692655x3 + 7469116746x2 - 3243825927x + 549451881 \( 2^{48}\cdot 3^{16}\cdot 5^{27}\cdot 31^{6} \) 22T48 trivial (GRH)
22.6.136...000.1 x22 - 8x21 + 36x20 - 80x19 - 80x18 + 1944x17 - 10302x16 + 26484x15 - 25065x14 + 88360x13 + 105286x12 + 116412x11 - 3684854x10 - 5338040x9 + 49064310x8 - 83237556x7 - 20546277x6 + 172274184x5 - 94548680x4 - 74599880x3 + 71987376x2 - 9019808x - 3254864 \( 2^{36}\cdot 3^{16}\cdot 5^{27}\cdot 199^{6} \) 22T48 trivial (GRH)
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